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Finding the Fourth Proportional to 2,436.22, 3,651.54 and 974.62

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Solution

The fourth proportional to 2,436.22, 3,651.54 and 974.62 is: 1,460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.22 : 3,651.54 = 974.62 : x
  2. Step 2: Convert to fraction form
    2,436.22/3,651.54 = 974.62/x
  3. Step 3: Cross multiply
    2,436.22x = 3,651.54 × 974.62
  4. Step 4: Simplify right side
    2,436.22x = 3,558,863.91
  5. Step 5: Solve for x
    x = 3,558,863.91/2,436.22
  6. Step 6: Final answer
    x = 1,460.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.